Optimal design of periodic structures using evolutionary topology optimization

Huang, Xiaodong; Xie, Yi Min

doi:10.1007/s00158-007-0196-1

Cited by 121 publications

(48 citation statements)

References 15 publications

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“…The BESO method has been previously proved useful in producing optimal periodic structures [22]. To deal with periodic design problems, the design domain should be divided into a number of identical cells.…”

Section: Periodicitymentioning

confidence: 99%

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Ghabraie

Chan

Huang

et al. 2010

Engineering Structures

134

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Section: Periodicitymentioning

confidence: 99%

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Ghabraie

Chan

Huang

et al. 2010

Engineering Structures

134

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“…Almeida et al [2010] developed manufacturing constraints, specifically pattern repetition and symmetry, to functionally graded materials (FGMs) on both a global and local scale. Huang and Xie [2008] used the bidirectional evolutionary structural optimization (ESO) to come up with the optimal designs of periodic structures by splitting the design domains into unit cells that are constrained to have the same material layouts. However, it has been shown that often times ESO methods can produce nonoptimal solutions [Zhou and Rozvany, 2001].…”

Section: Pattern Repetition and Gradationmentioning

confidence: 99%

Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

Stromberg

Beghini

Baker

et al. 2010

Struct Multidisc Optim

114

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This work explores the use of manufacturing-type constraints, in particular pattern gradation and repetition, in the context of layout optimization. By placing constraints on the design domain in terms of number and size of repeating patterns along any direction, the conceptual design for buildings is facilitated. To substantiate the potential future applications of this work, examples within the context of high-rise building design are presented. Successful development of such ideas will lead to practical engineering solutions, especially during the building design process. Throughout this work, a continuous topology optimization formulation is utilized with compliance as the objective function and constraints on the pattern geometry. Examples are given to illustrate the ideas developed both in two-dimensional and three-dimensional building configurations.ii To my father, Barry and my mother, Kathy.iii

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“…The inverse homogenization approach is one of the most effective methods of material design to achieve specially tailored properties on a micro scale. Plenty of work on the basis of this approach has been applied to the design of material with prescribed properties (see e.g., Sigmund et al (1995), Challis et al (2008), Huang and Xie (2008), Nomura (2009), Radman et al (2013). Our previous work (Chen and Liu 2014) presented a topology optimization method for designing a viscoelastic material with prescribed properties.…”

Section: Introductionmentioning

confidence: 99%

Microstructural topology optimization of viscoelastic materials for maximum modal loss factor of macrostructures

Chen

Liu

2015

Struct Multidisc Optim

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The geometric layout and physical properties of a viscoelastic damping material have a significant influence on the damping performance of a passive constrained layer damping (PCLD) structure. This paper presents a two-scale optimization method and aims to find the optimal microstructural configuration of the viscoelastic material (i.e., the optimal effective properties of the material) with maximum modal loss factors of the macrostructures. The modal loss factor is obtained by using the Modal Strain Energy (MSE) method. The material microstructure is assumed to be homogeneous in the macro-scale, i.e., the macrostructure is composed of periodic unit cells (PUC). In the optimization formulation, the relative densities are introduced as the design variables for the material microstructure design, based upon the idea of the Solid Isotropic Material with Penalization (SIMP) method of topology optimization. The modal loss factor of the structure is assigned as the objective function. All the sensitivities of the modal loss factor with respect to the design variables are derived analytically and the optimization problem is solved by Method of Moving Asymptote (MMA) method. Several examples of the design optimization of viscoelastic cellular materials are presented to demonstrate the validity of the method. The effectiveness of the design method is illustrated by comparing a solid and an optimized cellular viscoelastic material as applied to a cantilever beam with the PCLD treatment.

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Optimal design of periodic structures using evolutionary topology optimization

Cited by 121 publications

References 15 publications

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

Microstructural topology optimization of viscoelastic materials for maximum modal loss factor of macrostructures

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